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COMPGEOM
2006
ACM
14 years 1 months ago
The predicates for the Voronoi diagram of ellipses
This paper examines the computation of the Voronoi diagram of a set of ellipses in the Euclidean plane. We propose the first complete algorithms, under the exact computation para...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
IPSN
2007
Springer
14 years 1 months ago
Exact distributed Voronoi cell computation in sensor networks
Distributed computation of Voronoi cells in sensor networks, i.e. computing the locus of points in a sensor field closest to a given sensor, is a key building block that supports...
Boulat A. Bash, Peter Desnoyers
ICIP
2003
IEEE
14 years 27 days ago
K-Voronoi diagrams computing in arbitrary domains
We propose a novel algorithm to compute Voronoi diagrams of order k in arbitrary 2D and 3D domains. The algorithm is based on a fast ordered propagation distance transformation ca...
Rubén Cárdenes, Simon K. Warfield, A...
CCCG
2010
13 years 9 months ago
Existence of zone diagrams in compact subsets of uniformly convex spaces
A zone diagram is a relatively new concept which has emerged in computational geometry and is related to Voronoi diagrams. Formally, it is a fixed point of a certain mapping, and ...
Eva Kopecká, Daniel Reem, Simeon Reich
IPL
2006
108views more  IPL 2006»
13 years 7 months ago
Robustness of k-gon Voronoi diagram construction
In this paper, we present a plane sweep algorithm for constructing the Voronoi diagram of a set of non-crossing line segments in 2D space using a distance metric induced by a regu...
Zhenming Chen, Evanthia Papadopoulou, Jinhui Xu